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Simplifying -43 + 3z = 2 + -6z Solving -43 + 3z = 2 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -43 + 3z + 6z = 2 + -6z + 6z Combine like terms: 3z + 6z = 9z -43 + 9z = 2 + -6z + 6z Combine like terms: -6z + 6z = 0 -43 + 9z = 2 + 0 -43 + 9z = 2 Add '43' to each side of the equation. -43 + 43 + 9z = 2 + 43 Combine like terms: -43 + 43 = 0 0 + 9z = 2 + 43 9z = 2 + 43 Combine like terms: 2 + 43 = 45 9z = 45 Divide each side by '9'. z = 5 Simplifying z = 5
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